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  2. Kirchhoff's diffraction formula - Wikipedia

    en.wikipedia.org/wiki/Kirchhoff's_diffraction...

    Kirchhoff's integral theorem, sometimes referred to as the Fresnel–Kirchhoff integral theorem, [3] uses Green's second identity to derive the solution of the homogeneous scalar wave equation at an arbitrary spatial position P in terms of the solution of the wave equation and its first order derivative at all points on an arbitrary closed surface as the boundary of some volume including P.

  3. Fresnel diffraction - Wikipedia

    en.wikipedia.org/wiki/Fresnel_diffraction

    Fresnel diffraction of circular aperture, plotted with Lommel functions. This is the Fresnel diffraction integral; it means that, if the Fresnel approximation is valid, the propagating field is a spherical wave, originating at the aperture and moving along z. The integral modulates the amplitude and phase of the spherical wave.

  4. Kirchhoff integral theorem - Wikipedia

    en.wikipedia.org/wiki/Kirchhoff_integral_theorem

    Kirchhoff's integral theorem (sometimes referred to as the Fresnel–Kirchhoff integral theorem) [1] is a surface integral to obtain the value of the solution of the homogeneous scalar wave equation at an arbitrary point P in terms of the values of the solution and the solution's first-order derivative at all points on an arbitrary closed surface (on which the integration is performed) that ...

  5. List of optics equations - Wikipedia

    en.wikipedia.org/wiki/List_of_optics_equations

    Visulization of flux through differential area and solid angle. As always ^ is the unit normal to the incident surface A, = ^, and ^ is a unit vector in the direction of incident flux on the area element, θ is the angle between them.

  6. Diffraction from slits - Wikipedia

    en.wikipedia.org/wiki/Diffraction_from_slits

    Because diffraction is the result of addition of all waves (of given wavelength) along all unobstructed paths, the usual procedure is to consider the contribution of an infinitesimally small neighborhood around a certain path (this contribution is usually called a wavelet) and then integrate over all paths (= add all wavelets) from the source to the detector (or given point on a screen).

  7. Principles of Optics - Wikipedia

    en.wikipedia.org/wiki/Principles_of_Optics

    Elements of the theory of diffraction Fresnel-Kirchhoff diffraction theory and its applications. Detailed analysis of the three-dimensional light distribution near the optical focus. Also an account of Thomas Young's boundary diffraction wave model. Also included an account of Gabor's "ingenious method of reconstructing wavefronts" for which ...

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  9. Huygens–Fresnel principle - Wikipedia

    en.wikipedia.org/wiki/Huygens–Fresnel_principle

    The Huygens–Fresnel principle provides a reasonable basis for understanding and predicting the classical wave propagation of light. However, there are limitations to the principle, namely the same approximations done for deriving the Kirchhoff's diffraction formula and the approximations of near field due to Fresnel. These can be summarized ...